3(x-1)-4x=5-2(x+1)

Solution for 3(x-1)-4x=5-2(x+1) equation:

Simplifying
3(x + -1) + -4x = 5 + -2(x + 1)

Reorder the terms:
3(-1 + x) + -4x = 5 + -2(x + 1)
(-1 * 3 + x * 3) + -4x = 5 + -2(x + 1)
(-3 + 3x) + -4x = 5 + -2(x + 1)

Combine like terms: 3x + -4x = -1x
-3 + -1x = 5 + -2(x + 1)

Reorder the terms:
-3 + -1x = 5 + -2(1 + x)
-3 + -1x = 5 + (1 * -2 + x * -2)
-3 + -1x = 5 + (-2 + -2x)

Combine like terms: 5 + -2 = 3
-3 + -1x = 3 + -2x

Solving
-3 + -1x = 3 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-3 + -1x + 2x = 3 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-3 + 1x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 1x = 3 + 0
-3 + 1x = 3

Add '3' to each side of the equation.
-3 + 3 + 1x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 3 + 3
1x = 3 + 3

Combine like terms: 3 + 3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6